Derived invariants of gentle orders

Published 20 Feb 2025 in math.RT | (2502.14852v1)

Abstract: This article is concerned with the derived representation theory of certain infinite-dimensional gentle algebras called gentle orders. For a gentle order, we provide a factorization of the derived Nakayama functor, study its fractionally Calabi-Yau objects and exceptional cycles, and establish that certain combinatorial invariants of its underlying quiver are derived invariants, analogous to results for finite-dimensional gentle algebras.

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Wassilij Gnedin

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